Answer
The angle of elevation of the ramp to the nearest tenth of the degree is\[15.1{}^\circ \].
Work Step by Step
The angle of elevation is the angle made by the horizontal line and the line of object’s sight. Since the angle of elevation opposite to the height of ramp and next to the hypotenuse of the ramp, use the Sine ratio formula as follows:
\[\sin \theta =\frac{a}{c}\].
Where a; is the side opposite to the angle and c is the hypotenuse. Here, a; is\[6\text{ ft}\],c is\[23\text{ ft}\]. Compute the \[\sin \theta \]as follows:
\[\begin{align}
& \sin \theta =\frac{6\text{ft}}{23\text{ft}} \\
& \sin \theta =0.261\text{ ft} \\
& \theta ={{\sin }^{-1}}\left( 0.261 \right) \\
& \theta =15.1{}^\circ
\end{align}\]
